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Finding the Third Proportional to 145,584 and 315,936

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Solution

The third proportional to 145,584 and 315,936 is: 685,621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,584 : 315,936 = 315,936 : x
  2. Step 2: Convert to fraction form
    145,584/315,936 = 315,936/x
  3. Step 3: Cross multiply
    145,584x = 315,936 × 315,936
  4. Step 4: Simplify right side
    145,584x = 99,815,556,096
  5. Step 5: Solve for x
    x = 99,815,556,096/145,584
  6. Step 6: Final answer
    x = 685,621.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.